The sum of the greatest and smallest six digit numbers that can be formed from the digits 5, 9, 0, 2, 8 and 6 (without repetition) is :

Correct Answer: Option 1192209

Step-by-Step Explanation:

Step 1: Identify the given digits

The given digits are 5, 9, 0, 2, 8, and 6. We need to form 6-digit numbers without repeating any digit.

Step 2: Form the greatest 6-digit number

To form the greatest number, arrange the given digits in descending (largest to smallest) order:

9, 8, 6, 5, 2, 0

So, the greatest 6-digit number is 986520.

Step 3: Form the smallest 6-digit number

To form the smallest number, arrange the given digits in ascending (smallest to largest) order. Since a number cannot start with 0 (as that would make it a 5-digit number), we place the smallest non-zero digit, which is 2, in the first position, followed by 0, and then the remaining digits in ascending order:

2, 0, 5, 6, 8, 9

So, the smallest 6-digit number is 205689.

Step 4: Calculate the sum of the two numbers

Now, add the greatest and smallest numbers formed:

$986520+205689=1192209$

Therefore, the sum of the greatest and smallest six-digit numbers is 1192209.